Does this horse neck rein or use leg commands to turn? If he doesn't it won't work.
A mechanical hackamore like that has really no effective way to turn a horse, it has stopping power. Be very careful with a mechanical hackamore, especially one with the steel shanks. It is useful if the horse has had a mouth injury (our mustang did) and all you need is stopping power. But they can cause a lot of damage to a horse if you use them heavy handed.
If he just came off the track, why not give him a few months to just rest and settle down before you do much. Then go back to basics with him, in just a snaffle and see how it goes.
Remember that track horses run faster the more you pull.